What is the identity of (sec^2theta-1)/sintheta = sintheta/(1-sin^2theta) Please get this done and match the sides. Thank you!

See Below.

Step-by-step explanation:

We want to prove the trigonometric identity:

To start, let's simplify the right side. Recall the Pythagorean Identity:

Therefore:

Substitute:

Split:

Therefore, our equation becomes:

From the Pythagorean Identity, we can divide both sides by cos²(θ). This yields:

So:

Substitute:

Rewrite:

Recall that tan(θ) = sin(θ)/cos(θ). So:

Simplify:

Simplify:

Hence proven.  

good luck on your studies! : )

david edward.